1984127650560 has 864 divisors, whose sum is σ = 7938206599680. Its totient is φ = 465398784000.

The previous prime is 1984127650559. The next prime is 1984127650579. The reversal of 1984127650560 is 650567214891.

It is a happy number.

1984127650560 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 1 + 2 + 76 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1984127650497 and 1984127650506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365331045 + ... + 365336475.

It is an arithmetic number, because the mean of its divisors is an integer number (9187739120).

Almost surely, 2^{1984127650560} is an apocalyptic number.

1984127650560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984127650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969103299840).

1984127650560 is an abundant number, since it is smaller than the sum of its proper divisors (5954078949120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1984127650560 is a wasteful number, since it uses less digits than its factorization.

1984127650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1984127650560 in words is "one trillion, nine hundred eighty-four billion, one hundred twenty-seven million, six hundred fifty thousand, five hundred sixty".